The finite basis problem for varieties modulo x^3=0
We prove that any variety of associative algebras over a Noetherian commutative ring with unity satisfying the identity x^3=0 is finitely based. This property has been known for the varieties satisfying the identity x^2=0. On the other hand, there are varieties satisfying the identity x^6=0 that are not finitely based.
math.RA↗